Sequential solution to Kepler’s equation

Celestial Mechanics and Dynamical Astronomy ◽

10.1007/s10569-010-9292-4 ◽

2010 ◽

Vol 108 (1) ◽

pp. 59-72 ◽

Author(s):

Jeremy J. Davis ◽

Daniele Mortari ◽

Christian Bruccoleri

Keyword(s):

Kepler's Equation ◽

Kepler’S Equation ◽

Sequential Solution

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Solution of Kepler’s Equation with Machine Precision

Astronomy Reports ◽

10.1134/s106377292012001x ◽

2020 ◽

Vol 64 (12) ◽

pp. 1060-1066

Author(s):

M. K. Abubekerov ◽

N. Yu. Gostev

Keyword(s):

Machine Precision ◽

Kepler's Equation ◽

Kepler’S Equation

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Book Review: Kepler's Equation down the Centuries: Solving Kepler's Equation: Over Three Centuries

Journal for the History of Astronomy ◽

10.1177/002182869502600213 ◽

1995 ◽

Vol 26 (2) ◽

pp. 175-177

Author(s):

E. M. Standish

Keyword(s):

Kepler's Equation ◽

Kepler’S Equation

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The solution of Kepler's equation, II

Celestial Mechanics ◽

10.1007/bf01844230 ◽

1983 ◽

Vol 31 (3) ◽

pp. 317-328 ◽

Author(s):

T. M. Burkardt ◽

J. M. A. Danby

Keyword(s):

Kepler's Equation ◽

Kepler’S Equation

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A note on ?Kepler's equation?

Archive for History of Exact Sciences ◽

10.1007/bf00376451 ◽

1997 ◽

Vol 51 (1) ◽

pp. 59-65 ◽

Author(s):

Jacques Dutka

Keyword(s):

Kepler's Equation ◽

Kepler’S Equation

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Solving Kepler's Equation

An Introduction to the Mathematics and Methods of Astrodynamics, Revised Edition ◽

10.2514/5.9781600861543.0191.0236 ◽

1999 ◽

pp. 191-236

Keyword(s):

Kepler's Equation ◽

Kepler’S Equation

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Kepler's Equation and Lambert's Theorem

Adventures in Celestial Mechanics ◽

10.1002/9783527617784.ch7 ◽

2007 ◽

pp. 99-138

Keyword(s):

Kepler's Equation ◽

Kepler’S Equation

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ANOMALY: solves Kepler's equation for elliptical motion

Astronomy with your Personal Computer ◽

10.1017/cbo9780511564888.019 ◽

2010 ◽

pp. 111-114

Author(s):

Peter Duffett-Smith

Keyword(s):

Kepler's Equation ◽

Kepler’S Equation ◽

Elliptical Motion

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Computing the distance from a point to a helix and solving Kepler's equation

Nuclear Instruments and Methods in Physics Research Section A Accelerators Spectrometers Detectors and Associated Equipment ◽

10.1016/j.nima.2008.10.006 ◽

2009 ◽

Vol 598 (3) ◽

pp. 788-794 ◽

Author(s):

Yves Nievergelt

Keyword(s):

Kepler's Equation ◽

Kepler’S Equation

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On an integral representation of a class of Kapteyn (Fourier–Bessel) series: Kepler’s equation, radiation problems and Meissel’s expansion

Applied Mathematics Letters ◽

10.1016/j.aml.2010.06.026 ◽

2010 ◽

Vol 23 (11) ◽

pp. 1331-1335 ◽

Author(s):

A. Eisinberg ◽

G. Fedele ◽

A. Ferrise ◽

D. Frascino

Keyword(s):

Integral Representation ◽

Kepler's Equation ◽

Kepler’S Equation

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Rootfinding for a transcendental equation without a first guess: Polynomialization of Kepler's equation through Chebyshev polynomial expansion of the sine

Applied Numerical Mathematics ◽

10.1016/j.apnum.2005.11.010 ◽

2007 ◽

Vol 57 (1) ◽

pp. 12-18 ◽

Author(s):

John P. Boyd

Keyword(s):

Chebyshev Polynomial ◽

Transcendental Equation ◽

Polynomial Expansion ◽

Kepler's Equation ◽

Kepler’S Equation

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